Name
CHAPTER
6
Date
Class
Chapter Test
Form A
Select the best answer.
1. Which ordered pair is a solution of
x 2y 1
?
yx
A 1, 1 B 3, 1 5. Leslie joins a fitness club that has a
membership fee of $20 plus $15 per
month. Rashad’s club has a fee of $40
and charges $10 per month. In how
many months will the two clubs cost the
same?
A 4 months
B 12 months
x y 1
.
6. Solve by any method:
xy3
{
2. The graph of a system of linear
equations is shown below. What is the
solution of the system?
{
Y
Y
X
X
A
B
C
D
0, 0 2, 2 A 2, 1 B 1, 2 0, 2 1, 1 3. Solve by substitution:
A 2.5, 3.5 B 0, 1 { yx xy 17 .
7. Which term describes a system with
exactly one solution?
A consistent and independent
B consistent and dependent
C inconsistent
D dependent
C 6, 7 D 3, 4 2x + y 10
.
4. Solve by elimination:
xy2
A 4, 2 B 8, 6 {
Copyright © by Holt, Rinehart and Winston.
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a107c06_Assess.indd 107
107
Holt Algebra 1
12/22/05 1:51:29 PM
Process Black
Name
Date
CHAPTER
Chapter Test
6
Form A continued
8. Which equation would make this system
have an infinite number of solutions?
{
A
B
C
D
12. For which system of linear inequalities is
the ordered pair 1, 1 a solution?
y x 1
A
yx1
yx2
{
yx1
B {
yx3
2y 2x 2
y2x
y 2x
y 3x 1
9. Solve
{
Class
13. The graph of a system of linear
inequalities is shown below. Which
ordered pair is a solution of the system?
x 2y 4
.
2y x 6
Y
A no solution
B infinitely many solutions
10. Which ordered pair is a solution of
y x 1?
A 0, 2 B 1, 3 C 2, 3 D 3, 3 X
11. The solution of which linear inequality is
graphed below?
Y
A 2, 2 B 4, 3 14. Amber is buying drinks and snacks for a
party at her house.
She can spend no more than $20.
Drinks d cost $1 each.
Snacks s cost $2 each.
She needs at least 5 of each snack.
What system represents this situation?
X
d5
A s5
d s 20
A y x
B y x
C 2, 2 D 4, 0 C y x
D y x
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c06_Assess.indd 108
B
108
{
{
d5
s5
d 2s 20
Holt Algebra 1
12/22/05 1:51:30 PM
Process Black
Name
CHAPTER
6
Date
Class
Chapter Test
Form B
Select the best answer.
1. Which ordered pair is a solution of
x y 3
?
2x y 0
A 3, 0 B 1, 2 C 0, 0 D 1, 4 5. Sam needs to make a long-distance
call from a pay phone. With his prepaid
phone card, he will be charged $1.00
to connect and $0.50 per minute. If he
places a collect call with the operator
he will be charged $3.00 to connect and
$0.25 per minute. In how many minutes
will the phone card and the collect call
cost the same?
A 5 min.
1 min.
B 5__
3
C 8 min.
D 16 min.
{
2. The graph of a system of linear
equations is shown below. What is the
solution of the system?
Y
6. Solve by any method:
Y
{ 2xx 3yy 1118 .
X
X
F 0, 3 G 0, 6 3. Solve by substitution:
A
B
C
D
{
yx3
.
2x y 9
1.5, 4.5 F
2, 5 6, 9 F 5, 8 17
__52, ___
4 Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c06_Assess.indd 109
15 , ___
47
___
7 7 G 3, 5 3, 6 4. Solve by elimination:
G
H 2, 4 J 6, 0 15
__27, ___
4 J 5, 1 7. Which term describes a system with no
solution?
A consistent
B dependent
C inconsistent
D independent
{ 3xx 2y2y111 .
H 3, 4 J
H
4, __72 109
Holt Algebra 1
12/22/05 1:51:31 PM
Process Black
Name
Date
CHAPTER
6
Chapter Test
Form B
continued
12. For which system of linear inequalities is
the ordered pair 1, 3 a solution?
8. Which equation would make this system
consistent and dependent ?
{
Class
y 2x 4
F y 2x 5
G 6x 3y 12
9. Solve
{
6
{ yy x
2x 3
y x 6
G {
y 2x 3
F
H 2x y 4
J y 3x 4
6
{ yy x
2x 3
y x 6
J {
y 2x 3
H
13. The graph of a system of linear
inequalities is shown below. Which
ordered pair is a solution of the system?
4x 2y 6
y 2x 3
A no solution
Y
B 0, 0 C
2 3, 0
__
D infinitely many solutions
10. Which ordered pair is a solution of
y 5x 2?
H 3, 13 F 1, 5 G 2, 7 J 4, 4 X
11. The solution of which linear inequality is
graphed below?
Y
A 3, 6 B 2, 0 14. A factory makes widgets x and gadgets
y. Widgets cost $3 and gadgets cost $5
each to make. The boss wants at least
10 widgets and 20 gadgets per day.
Total costs need to be at most $300
per day. What system represents this
situation?
X
F
A 3x y 4
B 3x y 4
a107c06_Assess.indd 110
{
{
x 10
y 20
x y 300
x 10
G y 20
3x 5y 300
C 3x y 4
D 3x y 4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
C 0, 2 D 3, 6 110
x 10
H y 20
3x 5y 300
J
{
{
x 10
y 20
5x 3y 300
Holt Algebra 1
12/22/05 1:51:32 PM
Process Black
Name
Date
Class
Chapter Test
CHAPTER
6
Form C
5. Robin has $24.50 and her brother
Wayne has $68.50. Her brother is
paying her $2.75 each day to help with
his chores. When will they have the
same amount of money?
Select the best answer.
1. Which ordered pair is a solution of this
system:
{ 4x3y y6x36 ?
A 2, 11 C
B 1, 1 D
__12, 3 __12, 1 A 4 days
B 8 days
6. Solve
2. Estimate a solution to the system.
C 16 days
D 44 days
{ 2y3y 3x2x 44.
Y
Y
X
X
F 3, 2 G (2.5, 3.5)
H 3.5, 2.5 J (4, 2)
3. Solve by substitution:
A
B
C
D
F 4, 8 1
G 1, __
2
H 4, 4 J 1, 2 { y3x3x2y2 13.
7. Logan has read 14 books and is reading
1 each week. Mariko has read 12 books
and is reading 1 each week. Which term
describes this scenario?
A consistent
B dependent
C inconsistent
D independent
2, 4 3, 11 11, 3 1, 5 4. Solve by elimination:
F 1, 3 G 1, 3 Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c06_Assess.indd 111
.
{ 2x2y 3y4x 7
10
H 2, 1 J 1, 2 111
Holt Algebra 1
12/22/05 1:51:34 PM
Process Black
Name
Date
Chapter Test
CHAPTER
6
Form C
continued
8. Which equation would make this system
consistent and dependent?
{
12. For which system of linear inequalities is
the ordered pair 4, 3 a solution?
3
3
F 21x y __
2
3
21 x __
H y ___
2
2
G 42x 4y 3
J 21x 2y 3
{
H
F
2
9. Solve
{ xy y2x4 5
4 y 2x
J {
y 2 3x
6 y 2x
{y
2 3x
y 6 x
G {
y 2x 1
2y 7x __
1
__
13. Which ordered pair is a solution of the
system?
9x 4y 6
__
Y
4
.
3x
2 y __
40 __
8
3
3
4, __
4
B 8, 64.5 C infinitely many solutions
D no solution
A
Class
10. Which ordered pair is a solution of
2y 4x 10?
H 2, 10 F 2, 0 G 3, 2 J 1, 6 X
11. The solution of which linear inequality is
graphed below?
A 5, 10 B 4, 12 Y
14. A class fundraiser is earning $7 per car
wash w and $4 per cake c sold. The
cakes cost $2 to make and the supplies
for the car wash cost $1 per car. They
will wash less than 50 cars and bake no
more than 30 cakes. They want to raise
at least $320 to give to a local charity.
What system represents this situation?
X
F
G
A y 4x 18
B 18 y 4x
C 0, 4 D 12, 0 {
{
w 50
c 30
w c 320
w 50
H c 30
7w 4c 320
{
w 50
w 50
J c 30
c 30
5w 3c 320
6w 2c 320
{
C 18 y 4x
D y 18 4x
Copyright © by Holt, Rinehart and Winston.
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a107c06_Assess.indd 112
112
Holt Algebra 1
12/22/05 1:51:35 PM
Process Black
Name
CHAPTER
6
Date
Class
Chapter Test
Form A
1. Tell whether 5, 2 is a solution of
5. Tank A contains 35 gallons of water and
is increasing at a rate of 5 gallons per
minute. Tank B contains 100 gallons of
water and is decreasing at a rate of 8
gallons per minute. In how many minutes
will the tanks contain the same amount
of water? How much water will that be?
{ x2x3yy 113
2. Solve
{ yy xx 3 5 by graphing.
Y
6. Solve by any method:
3x 2
.
{ yy 2x
8
Y
X
X
3. Solve by substitution:
{ y2x10y x4 .
7. Classify
4. Solve by elimination:
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c06_Assess.indd 113
10
.
{ yy 6x
6x 3
Write consistent and independent,
consistent and dependent, or
inconsistent.
{ x4x2y2y722.
113
Holt Algebra 1
12/22/05 1:51:37 PM
Process Black
Name
Date
CHAPTER
Chapter Test
6
Form A continued
12. Tell whether –6, 0 is a solution of
yx4
.
y 2x
8. How many solutions does
{
{ 2x2y y4x 3 6 have?
9. Solve
{
1x y __
13. Graph
5
2
2y x 24
Class
.
{
1x 4
y __
2
yx1
.
Give two ordered pairs that are solutions
and two ordered pairs that are not
solutions.
Y
10. Tell whether 1, 10 is a solution of
y 5 6x.
11. Write the inequality represented by the
graph below.
X
Y
solutions:
X
not solutions:
14. At Healthy Hair, the cost of a children’s
haircut x is $4 and the cost of an adult
haircut y is $14. The manager’s goal for
the day is to have at least 5 children’s
cuts, at least 20 adult cuts, and to have
total sales be greater than $500. Write a
system to represent this situation.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c06_Assess.indd 114
114
Holt Algebra 1
12/22/05 1:51:38 PM
Process Black
Name
CHAPTER
6
Date
Class
Chapter Test
Form B
1. Tell whether ⫺5, ⫺6 is a solution of
x ⫺ 2y ⫽ 7
.
y ⫺ x ⫽ ⫺1
5. The population of Medford High School
is 800 students and the population of
Westville High School is 1240 students.
The population of Medford High has
been increasing at a rate of 30 students
per year, while the population of
Westville High has been decreasing
by 25 students per year. If these rates
remain constant, in how many years will
the populations of the two schools be
the same? How many students will that
be?
{
yes
2. Solve
{ 4xy ⫺⫹4y⫽⫽x⫺1 by graphing.
y
5
4
8 yrs, 1040 students
3
1x
y ⫺ 5 ⫽ ⫺__
2 .
6. Solve by any method:
x⫽y⫺2
{
2
1
⫺5 ⫺4 ⫺3 ⫺2 ⫺1 0
⫺1
1
2
3
4
5
x
y
⫺2
7
⫺3
6
⫺4
5
⫺5
4
3
2
1
1, 3 3. Solve by substitution:
⫺5 ⫺4 ⫺3 ⫺2 ⫺1 0
⫺1
{ 3xy ⫺⫺2x2 ⫽⫽ y⫺5 .
1
2
3
4
5
x
⫺2
⫺3
⫺4
⫺5
3, 11 4. Solve by elimination:
{ 3xx ⫹⫺4y2y⫽⫽344 .
2, 4 2x ⫹ 7
y ⫽ __
3
.
7. Classify
3y ⫽ 2x ⫺ 3
{
6, 7 Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c06_Assess.indd 115
inconsistent
115
Holt Algebra 1
6/15/06 10:53:39 AM
Process Black
Name
CHAPTER
6
Date
Class
Chapter Test
Form B
continued
⫺4x ⫹ y ⫽ 1
8. How many solutions does
2y ⫺ 2 ⫽ 8x
have?
{
12. Tell whether ⫺1, ⫺4 is a solution of
⫺2x ⫺ y ⬎ 6
.
y ⱕ 4x
{
no
infinitely many
9. Solve
{
8y ⫺ 6x ⫽ 48
.
3 x ⫺ 12
2y ⫽ __
2
13. Graph
⫹ y ⬎ ⫺6
.
{ ⫺4x
5y ⱕ ⫺x ⫺ 20
Give two ordered pairs that are solutions
no solution
and two ordered pairs that are not
solutions.
10. Tell whether 4, 3 is a solution of
y ⱕ ⫺2x ⫺ 5.
y
10
8
6
no
4
2
11. Write the inequality represented by the
graph below.
⫺10 ⫺8
⫺6
⫺4
⫺2 0
2
4
6
8
10
x
⫺2
Y
⫺4
⫺6
⫺8
⫺10
possible answers:
sol: 6, 6, 8, 10 X
not sol: 6, 0 , 1, 7 14. A farmer has 165 feet of fencing material
in which to enclose a rectangular grazing
area. He wants the length x to be
greater than 50 feet and the width y to
be no more than 20 feet. Write a system
to represent this situation.
x 2
{
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c06_Assess.indd 116
116
x 50
y 20
2x 2y 165
Holt Algebra 1
6/15/06 12:36:15 PM
Process Black
Name
CHAPTER
6
Date
Class
Chapter Test
Form C
1 , 1 is a solution of
1. Tell whether __
2
2x y 2
.
y 4x 3
5. A chemist has a 2% acid solution and an
8% acid solution. He wants to mix the
solutions to get 300 mL of a 5.5% acid
solution. How many milliliters of each
solution does he need?
{
1x
y 2 __
3
2. Solve
by graphing.
3y 2x 3
{
Y
6. Solve by any method:
{
yx3
.
1 y __
1x
__
2
3
Y
X
X
3. Solve by substitution:
y3
.
{ 2x
y 12 x
7. Classify
4. Solve by elimination:
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c06_Assess.indd 117
5y 4x 5
.
{10y
2 4x
{ 3y2y 4x5x 294 .
117
Holt Algebra 1
12/22/05 1:51:42 PM
Process Black
Name
CHAPTER
6
Date
Class
Chapter Test
Form C
continued
8. How many solutions does
3
3y 6x __
2 have?
y 2x 1
1 is a solution of
12. Tell whether 5, __
3
yx4
.
x 3y 4
6y 4x 6
9. Solve
.
9y 6x 9
13. Graph
{
{
y 3x 5
.
3x y 7
Give two ordered pairs that are solutions
and two ordered pairs that are not
solutions.
{
{
Y
10. Tell whether 10,
1 x 5.
y __
4
1 is a solution of
7__
2
X
11. Write the inequality represented by the
graph below.
Y
14. An artist has 600 inches of framing
material to form a rectangular frame.
The dimensions of the wall on which
it will hang limit the frame’s width to
no more than 200 inches. The artist
wants the length to be at least 2 times
longer than the width. Write a system to
represent this situation.
X
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c06_Assess.indd 118
118
Holt Algebra 1
12/22/05 1:51:43 PM
Process Black
Answer Key
continued
Chapter Test Form A
Chapter Test Form C
1. A
1. D
2. B
2. H
3. D
3. B
4. B
4. H
5. A
5. B
6. B
6. H
7. A
7. C
8. B
8. G
9. A
9. D
10. C
10. H
11. C
11. B
12. B
12. J
13. C
13. C
14. B
14. J
Chapter Test Form B
Chapter Test Form A
1. B
1. no
2. H
2. 4,1 Y
3. B
4. H
5. C
6. G
7. C
8. G
9. D
10. F
X
11. B
12. J
13. C
3. 2, 8 14. H
4. 3, 5 5. 5 min; 60 gal
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107_Assess_Answer.indd 271
271
Holt Algebra 1
6/2/06 2:10:54 PM
Answer Key
continued
6. 2, 4 Chapter Test Form B
Y
1. yes
2. 1, 3 Y
X
X
7. inconsistent
3. 3, 11 8. infinitely many
4. 6, 7 9. no solutions
5. 8 yrs, 1040 students
10. no
6. 2, 4 1x
11. y 6 __
Y
4
12. yes
13. possible answers: 2, 1 , 4, 0 ; 4, 0 ,
6, 2 Y
X
X
7. inconsistent
8. infinitely many
x5
14. y 20
4x 14y 500
{
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107_Assess_Answer.indd 272
9. no solution
272
Holt Algebra 1
1/4/06 12:18:16 PM
Answer Key
continued
10. no
4. 2, 7 11. x 2
5. 125 mL of the 2% and 175 mL of the 8%
12. no
6. 9, 6 Y
13.
Y
X
X
7. consistent and independent
possible answers: sol: 6, 6 8, 10 ; not sol: 6, 0 1, 7 8. none
9. infinitely many solutions
x 50
14. y 20
2x 2y 165
10. yes
{
1
11. y __
2
12. no
Chapter Test Form C
13. Possible answers; sol: 5, 0 7, 5 ; not
sol: 0, 0 5, 1 1. yes
2. 3, 1 Y
Y
X
3. 5, 7 Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107_Assess_Answer.indd 273
X
x 2y
14. y 200
2x 2y 600
{
273
Holt Algebra 1
6/2/06 2:10:55 PM